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Erdős problems frontier

constellation seal · derived from vfr_37aec80d874a0239
id
vfr_37aec80d874a0239
license
CC-BY-4.0
findings
1,256
accepted core
6
contested
0
links
17
sources
1,234
evidence
1,256
avg conf
0.98

used by 0 · replayed by 2 producers

e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null

Reviewable change

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add a finding

claimed — no verifier run, no signed judgmentopen

Erdős #567 (?, AMS 5). STATEMENT: $Q_3$ is the 3-dimensional hypercube graph (8 vertices, 12 edges). Vertices are 3-bit vectors. Two vertices are adjacent iff they differ in exactly one bit. FORMAL: erdos_567: answer(sorry) ↔ IsRamseySizeLinear Q3; erdos_567: answer(sorry) ↔ IsRamseySizeLinear K33; erdos_567: answer(sorry) ↔ IsRamseySizeLinear H5 KNOWN/REMARKS: # Erdős Problem 567 Let $G$ be either $Q_3$ or $K_{3,3}$ or $H_5$ (the last formed by adding two vertex-disjoint chords to $C_5$). Is it true that, if $H$ has $m$ edges and no isolated vertices, then $$ \hat{r}(G,H) \ll m? $$ In other words, is $G$ Ramsey size linear? A special case of Problem 566. *Reference:* erdosproblems.com/567 [EFRS93] Erdős, Faudree, Rousseau and Schelp, _Ramsey size linear RELATED: [566] OEIS: []

id
vpr_6dd8c94a582c8156
frontier
Erdős problems frontier
kind
finding.add
created
2026-06-04

A proposal; no authority until an accepted review event.

accept gate

0 of 4 on record
·
signature
no terminal verdict yet
·
chain
no state transition yet
—
witness
no verifier attachment on record for this target
·
grade
target not (yet) in frontier state

timeline

  1. 2026-06-04proposeproposed · finding.addagent — machine actor, no signing keyagent:erdos-deep-ingestvpr_6dd8c94a582c8156Candidate claim vc_e159c47ac2adc891 imported from artifact packet cap_f4e8bcd294c97ba7

proposed

reason

Candidate claim vc_e159c47ac2adc891 imported from artifact packet cap_f4e8bcd294c97ba7

finding type

theoretical

proposed confidence

0.95

confidence basis

agent-imported candidate claim; reviewer acceptance required

provenance

proposed by

agent — machine actor, no signing keyagent:erdos-deep-ingest

actor type

agent

created at

2026-06-04

target type

finding

Diff

Read-only frontier; diff not recomputed.

Review chain

  1. 01request

    Change request

    Erdős problems frontier receives a reviewable source, finding, caveat, replication, evaluation, or proof-affecting edit.

    open review →
  2. 02packet

    Diff packet

    The packet names affected record objects, evidence, rationale, reviewer-facing fields, and expected proof impact.

    open the campaign →
  3. 03checks

    Check output

    Schema, provenance, benchmark, contradiction, and proof checks decide whether the request is ready to read.

    inspect checks →
  4. 04review

    Reviewer decision

    A steward accepts, rejects, caveats, revises, or retracts the request under an inspectable identity.

    read queue →
  5. 05accepted

    Accepted event

    Only the accepted event mutates frontier state. Atlases, constellations, and search update from that record state.

    inspect events →

finding.noted · reviewer:will-blair · 1 day

renders the record as of vev_d199cb2e · 1,338 events · hub

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